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Existence of good divisors on Mukai varieties

alg-geom 2008-02-03 v1 Algebraic Geometry

Abstract

A Mukai variety is a Fano n-fold of index n-2. In this paper we study the fundamental divisor of a Mukai variety with at worst log terminal singularities. The main result is a complete classification of log terminal Mukai varieties which have not good divisors, examples of "bad" varieties are given. In such a way we also give a shorter proof of Mukai Conjecture, solved in our previous paper alg-geom/9611024.

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Cite

@article{arxiv.alg-geom/9705012,
  title  = {Existence of good divisors on Mukai varieties},
  author = {Massimiliano Mella},
  journal= {arXiv preprint arXiv:alg-geom/9705012},
  year   = {2008}
}

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